Multi-Input, Multi-State Switching Functions and Multiplications
a multi-state switching and multi-input technology, applied in the field of multi-input (2 or more) functions, can solve the problems of potentially power consumption in applications and lower clock rates, and achieve the effect of reducing the number of steps and possibly the number of components
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[0056]Aspects of the present invention provide novel implementation of n-valued with n>2 and / or binary logic functions for replacing a first n-valued logic function with 3 or more inputs that have inverters in at least one input and possible in all inputs, with an implementation of a single truth table, the single truth table being the first truth table that is modified in accordance with the multipliers at the input. It will be shown that one can modify the truth table, which usually is a p-dimensional truth table for a p-input function, of the function by another truth table that is modified according to the inverters at the inputs. Such reduction of n-valued truth tables can, as in the 2-input case, be applied to any n-valued truth table of functions with p inputs. Immediate application can be applied to evaluating a p-input radix-n partial product (a1b1+a2*b2+a3*b3+ . . . ap*bp) wherein a1 a2 a3 . . . ap are n-valued variable digits in a radix-n number and b1 . . . bp are consta...
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